oldroyd_theta_scheme2.h
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template <class P>
bool oldroyd_theta_scheme<P>::solve(field& tau_h, field& uh, field& ph) {
reset (uh.get_geo());
field tau_h0 = tau_h, uh0 = uh, ph0 = ph;
derr << "# n t rel_err residue lambda_min" << endl;
Float r = residue (tau_h, uh, ph);
Float rel_err = 0;
derr << "0 0 0 " << r << endl;
for (size_t n = 1; n <= max_iter; ++n) {
step (tau_h0, uh0, ph0, tau_h, uh, ph);
Float rel_err_prec = rel_err, r_prec = r;
r = residue (tau_h, uh, ph);
rel_err = field(tau_h-tau_h0).max_abs() + field(uh-uh0).max_abs();
derr << n << " " << n*delta_t << " " << rel_err << " " << r << endl;
if (rel_err < tol) return true;
if (rel_err_prec != 0 && ((rel_err > 10*rel_err_prec && r > 10*r_prec) ||
(rel_err > 1e5 && r > 1e5) )) return false;
tau_h0 = tau_h; uh0 = uh; ph0 = ph;
}
return (rel_err < sqrt(tol));
}
template <class P>
void oldroyd_theta_scheme<P>::initial (
const geo& omega, field& tau_h, field& uh, field& ph, string restart) {
reset (omega);
ph = field(Qh,0);
if (restart == "") {
uh = P::velocity_field (Xh);
trial u (Xh); test v (Xh), xi(Th);
form c0 = integrate (2*ddot(D(u),D(v)));
problem_mixed s0 (c0, d);
s0.set_metric(mp);
s0.solve (field(Xh,0), field(Qh,0), uh, ph);
field Duh = inv_mt*integrate(ddot(D(uh),xi));
tau_h = 2*alpha*Duh;
} else {
tau_h = field(Th);
uh = field(Xh);
idiststream in (restart, "field");
in >> catchmark("tau") >> tau_h
>> catchmark("u") >> uh
>> catchmark("p") >> ph;
}
}
template <class P>
void oldroyd_theta_scheme<P>::step (
const field& tau_h0, const field& uh0, const field& ph0,
field& tau_h, field& uh, field& ph) const {
field tau_h1 = tau_h0, uh1 = uh0, ph1 = ph0;
sub_step1 (tau_h0, uh0, ph0, tau_h1, uh1, ph1);
field tau_h2 = tau_h1, uh2 = uh1;
sub_step2 (uh0, tau_h1, uh1, tau_h2, uh2);
sub_step1 (tau_h2, uh2, ph1, tau_h, uh, ph);
}
template <class P>
Float
oldroyd_theta_scheme<P>::residue(field& tau_h, field& uh, field& ph) const{
update_transport_stress (uh);
test xi (Th);
field Duh = inv_mt*integrate(ddot(D(uh),xi));
field gh = 2*Duh;
field rt = We*(th*tau_h-thb) + integrate (ddot(tau_h - alpha*gh, xi));
field ru = b*(tau_h + (1-alpha)*gh) - d.trans_mult(ph);
ru.set_b() = 0;
field rp = d*uh;
return rt.u().max_abs() + ru.u().max_abs() + rp.u().max_abs();
}
gh
field gh(Float epsilon, Float t, const field &uh, const test &v)
Definition: burgers_diffusion_operators.icc:37
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem_mixed
see the problem_mixed page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
bdf::alpha
Float alpha[pmax+1][pmax+1]
Definition: bdf.icc:28
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_ball.n
int n
Definition: mkgeo_ball.sh:150
rheolef::details::reset
void reset(T &x)
Definition: keller_details.h:31
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::ddot
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
rheolef::D
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type D(const Expr &expr)
D(uh): see the expression page for the full documentation.
Definition: field_expr_terminal.h:969
residue
field residue(Float p, const field &uh)
Definition: p_laplacian_post.cc:35
oldroyd_theta_scheme::solve
bool solve(field &tau_h, field &uh, field &ph)
Definition: oldroyd_theta_scheme2.h:26
oldroyd_theta_scheme::initial
void initial(const geo &omega, field &tau_h, field &uh, field &ph, string restart)
Definition: oldroyd_theta_scheme2.h:47
oldroyd_theta_scheme::residue
Float residue(field &tau_h, field &uh, field &ph) const
Definition: oldroyd_theta_scheme2.h:81
oldroyd_theta_scheme::step
void step(const field &tau_h0, const field &uh0, const field &ph0, field &tau_h, field &uh, field &ph) const
Definition: oldroyd_theta_scheme2.h:70
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26